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Title: On the pseudoinverse of a sum of symmetric matrices with applications to estimation (English)
Author: Kovanic, Pavel
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 15
Issue: 5
Year: 1979
Pages: (341)-348
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Category: math
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MSC: 15A09
MSC: 65F20
MSC: 94A05
idZBL: Zbl 0419.15004
idMR: MR554017
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Date available: 2009-09-24T17:09:20Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/124942
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Reference: [1] T. O. Lewis P. L. Odell: A generalization of the Gauss-Markov theorem.Amer. Stat. Ass. Journal (Dec. 1966), 1063-1066. MR 0203873
Reference: [2] P. Kovanic: Minimum penalty estimate.Kybernetika 8 (1972), 5, 367-383. Zbl 0246.62073, MR 0326947
Reference: [3] P. Kovanic: Generalized linear estimate of functions of random matrix arguments.Kybernetika 10 (1974), 4. 303-316. Zbl 0284.62038, MR 0373722
Reference: [4] G. Zysking: On canonical forms, non-negative covariance matiices and best and simple least squares linear estimators in linear models.Ann. Math. Stat. 38 (1966), 1092-1108. MR 0214237
Reference: [5] C. R. Hallum T. O. Lewis T. L. Boullion: Estimation in the general linear model with a positive semidefinite covariance matrix.Communications in statistics 1 (2), (1973) 157-166. MR 0317469
Reference: [6] R. M. Pringle A. A. Rayner: Generalized inverse matrices with applications to statistics.Griffin, London 1971. MR 0314860
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